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Finding the Fourth Proportional to 72,800.25, 100,474.07 and 47,664.33

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Solution

The fourth proportional to 72,800.25, 100,474.07 and 47,664.33 is: 65,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,800.25 : 100,474.07 = 47,664.33 : x
  2. Step 2: Convert to fraction form
    72,800.25/100,474.07 = 47,664.33/x
  3. Step 3: Cross multiply
    72,800.25x = 100,474.07 × 47,664.33
  4. Step 4: Simplify right side
    72,800.25x = 4,789,028,990.60
  5. Step 5: Solve for x
    x = 4,789,028,990.60/72,800.25
  6. Step 6: Final answer
    x = 65,783.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.